Question

1. what equation represents the statement \the sum of two consecutive integers is 143\?

\\(x + 143 = y\\)

\\(x = 143\\)

\\(x + 1 = 143\\)

\\(x + x + 1 = 143\\)

Explanation:

Define consecutive integers

Let the first integer be \(x\).
Consecutive integers follow each other in order without gaps.
The next consecutive integer is \(x + 1\).

Set up the sum equation

Using the Algebraic Simplification knowledge point

$$ x + (x + 1) = 143 $$

Simplify the expression

Using the Algebraic Simplification knowledge point

$$ x + x + 1 = 143 $$

Answer:

• (A) \(x + 143 = y\)
• (B) \(x = 143\)
• (C) \(x + 1 = 143\)
• (D) \(x + x + 1 = 143\) (Correct answer)